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Finding the Fourth Proportional to 18,647.64, 27,971.46 and 4,797.72

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Solution

The fourth proportional to 18,647.64, 27,971.46 and 4,797.72 is: 7,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.64 : 27,971.46 = 4,797.72 : x
  2. Step 2: Convert to fraction form
    18,647.64/27,971.46 = 4,797.72/x
  3. Step 3: Cross multiply
    18,647.64x = 27,971.46 × 4,797.72
  4. Step 4: Simplify right side
    18,647.64x = 134,199,233.07
  5. Step 5: Solve for x
    x = 134,199,233.07/18,647.64
  6. Step 6: Final answer
    x = 7,196.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.